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Finding the Fourth Proportional to 117,161.92, 175,743.24 and 54,876.16

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Solution

The fourth proportional to 117,161.92, 175,743.24 and 54,876.16 is: 82,314.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,161.92 : 175,743.24 = 54,876.16 : x
  2. Step 2: Convert to fraction form
    117,161.92/175,743.24 = 54,876.16/x
  3. Step 3: Cross multiply
    117,161.92x = 175,743.24 × 54,876.16
  4. Step 4: Simplify right side
    117,161.92x = 9,644,114,157.16
  5. Step 5: Solve for x
    x = 9,644,114,157.16/117,161.92
  6. Step 6: Final answer
    x = 82,314.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.